The `__gt__` method in Python is a special method used to define the behavior of the greater-than operator (`>`). When you create a custom class, you can implement this method to specify how instances of that class should be compared. For example, if you have a class representing Point objects, you can define `__gt__` to compare their distances from the origin. When the greater-than operator is used between two objects of a class that has the `__gt__` method, Python calls this method to determine the result. If the first object is greater than the second according to the logic you defined, it returns `True`; otherwise, it returns `False`. This allows for intuitive comparisons between custom objects.